Journal
PHYSICAL REVIEW B
Volume 88, Issue 13, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.88.134506
Keywords
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Funding
- JQI-NSF-PFC
- EPSRC [EP/I004637/1]
- FCT [PTDC/FIS/111348/2009]
- Marie Curie International Reintegration Grant [PIRG07-GA-2010-268172]
- EPSRC [EP/I004637/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/I004637/1] Funding Source: researchfish
- Direct For Mathematical & Physical Scien
- Division Of Physics [822671] Funding Source: National Science Foundation
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In a one-dimensional (1D) superconductor, zero-temperature quantum fluctuations destroy phase coherence. Here we put forward a mechanism which can restore phase coherence: power-law hopping. We study a 1D attractive-U Hubbard model with power-law hopping using Abelian bosonization and density-matrix renormalization group (DMRG) techniques. The parameter that controls the hopping decay acts as the effective, noninteger spatial dimensionality d(eff). For real-valued hopping amplitudes we identify analytically a range of parameters for which power-law hopping suppresses fluctuations and restores superconducting long-range order for any d(eff) > 1, at zero temperature. A detailed DMRG analysis fully supports these findings. These results are also of direct relevance to quantum magnetism as our model can be mapped onto an S = 1/2 XXZ spin chain with power-law decaying couplings, which can be studied experimentally with cold-ion-trap techniques.
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